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Finding the Third Proportional to 46,873.50 and 101,115

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Solution

The third proportional to 46,873.50 and 101,115 is: 218,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,873.50 : 101,115 = 101,115 : x
  2. Step 2: Convert to fraction form
    46,873.50/101,115 = 101,115/x
  3. Step 3: Cross multiply
    46,873.50x = 101,115 × 101,115
  4. Step 4: Simplify right side
    46,873.50x = 10,224,243,225
  5. Step 5: Solve for x
    x = 10,224,243,225/46,873.50
  6. Step 6: Final answer
    x = 218,124.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.